Hello /sci/

I must admit the set up of this problem has made me feel like a brainlet.


Pic related shows three secondary circles and a primary circle. My problem is only two circles.

I have a primary circle, K and I have two types of circles A and B.

A and B each have smaller diameters than K.

A and B each have a different diameters.

The diameters of K, A, and B are all know and are finite numerical values.

Circles A and B each have a weighted score which is not correlated to their diameter.

The scores associated with A and B are both known finite numerical values.

How do I optimize the packing of these two circles into the main circle, K, such that the highest numerical score is achieved? The answer must contain the structure of the packed circles, as well as the maximum possible score.

I don't even know how to start with this one. I'm stumped friends.